Dictionary

cardinality en · NOUN

Pronunciation

• (US) audio
• /kɑɹdɪˈnælɪti/ (General-American)
• /kɑːdɪˈnælɪti/ (Received-Pronunciation)

Etymology

Etymology tree Latin cardō Proto-Indo-European *h₂el- Proto-Indo-European *-is Proto-Indo-European *h₂élisder.? Proto-Italic *-ālis Latin -ālis Latin cardinālisder. Middle French cardinalbor. English cardinal Proto-Indo-European *-teh₂ Proto-Indo-European *-ts Proto-Indo-European *-teh₂ts Latin -itāsder. Old French -itebor. Middle English -ite English -ity English cardinality From cardinal + -ity.

Meanings

1. (countable, of a set, uncountable) The number of elements a given set contains.
   • Clearly, in this example, the sensitivity to the cardinalities takes the weaker form F#91;M(A)#93;#61;#92;overset#123;#61;#125;#123;A#125; of a single-valued function from the measure to the cardinality rather than the stronger form M(A)#61;f(#92;overset#123;#61;#125;#123;A#125;) of a function from the cardinality to the measure. 2012, Adolf Grünbaum, Robert S. Cohen, Marx W. Wartofsky, Philosophical Problems of Space and Time, 2nd edition, Springer, page 487:
   • The empty set has a cardinality of zero.
   • For fuzzy sets, the concept of set size or cardinality is both richer and more problematic than it is for crisp sets. It is richer because, as we shall see, we may use more than one kind of cardinality. 2006, Michael Smithson, Jay Verkuilen, Fuzzy Set Theory: Applications in the Social Sciences, SAGE Publications, page 37:
   • The cardinality of a set A is the least ordinal α such that there exists a bijection between A and α. We sometimes use the notation #92;alpha#61;#124;A#124; to indicate this. 2005, Johan de Jong, “Set Theory”, in The Stacks Project, retrieved 26 Feb 2018:
2. (countable, qualifier:type theory, uncountable) The number of terms that can inhabit a type; the possible values of a type.
   • For many types, such as String, the set of possible values is unlimited. Such types have an infinite cardinality. 2021, Martin Odersky et al., chapter 19, in Programming in Scala, 5th edition, Artima, →ISBN:
3. (countable, qualifier:data modeling, uncountable) The property of a relationship between a database table and another one, specifying whether it is one-to-one, one-to-many, many-to-one, or many-to-many.
4. (countable, uncountable) The status of being cardinalitial

Forms

Relateds

aleph · cardinal · multiplicity · cardinal number

Synonyms

power

Translations (55)

da kardinalitet ((set theory) number of elements a given set contains) · vi lực lượng ((set theory) number of elements a given set contains) · de Kardinalität ((set theory) number of elements a given set contains) · ko 집합의 크기 ((set theory) number of elements a given set contains) · de Mächtigkeit ((set theory) number of elements a given set contains) · pl liczebność ((type theory) number of terms that can inhabit a type) · pt cardinalidade ((set theory) number of elements a given set contains) · pl kardynalność ((set theory) number of elements a given set contains) · bg кардиналност ((set theory) number of elements a given set contains) · sl moč množice ((set theory) number of elements a given set contains) · bg кардиналност ((type theory) number of terms that can inhabit a type) · cs kardinalita ((set theory) number of elements a given set contains) · it potenza ((set theory) number of elements a given set contains) · pl moc ((data modeling) property of a relationship between a database table and another one) · hi प्रमुखता ((set theory) number of elements a given set contains) · th ภาวะเชิงการนับ ((set theory) number of elements a given set contains) · pl liczebność ((data modeling) property of a relationship between a database table and another one) · el πληθάριθμος ((set theory) number of elements a given set contains) · fi mahtavuus ((set theory) number of elements a given set contains) · ga bunuimhreacht ((set theory) number of elements a given set contains) · pl kardynalność ((data modeling) property of a relationship between a database table and another one) · pl moc ((set theory) number of elements a given set contains) · nb kardinalitet ((set theory) number of elements a given set contains) · kk жиын қуаты ((set theory) number of elements a given set contains) · sv kardinalitet ((set theory) number of elements a given set contains) · ro mărime (potențială) ((set theory) number of elements a given set contains) · pl kardynalność ((type theory) number of terms that can inhabit a type) · fr cardinalité ((religion) status of being cardinalitial) · it cardinalità ((set theory) number of elements a given set contains) · fr cardinalité ((set theory) number of elements a given set contains) · ru мо́щность ((set theory) number of elements a given set contains) · pl kardynalność ((religion) status of being cardinalitial) · bg кардиналност ((data modeling) property of a relationship between a database table and another one) · ta எண் அளவை ((set theory) number of elements a given set contains) · ro cardinalitate ((set theory) number of elements a given set contains) · es cardinalidad ((set theory) number of elements a given set contains) · is fjöldatala ((set theory) number of elements a given set contains) · it numerosità ((set theory) number of elements a given set contains) · ko 농도 ((set theory) number of elements a given set contains) · hu számosság ((set theory) number of elements a given set contains) · mk моќност ((set theory) number of elements a given set contains) · fr cardinalité ((data modeling) property of a relationship between a database table and another one) · nl kardinaliteit ((set theory) number of elements a given set contains) · cmn 勢 /势 ((set theory) number of elements a given set contains) · vi lực lượng của một tập hợp ((set theory) number of elements a given set contains) · hy հզորություն ((set theory) number of elements a given set contains) · uk потужність ((set theory) number of elements a given set contains) · da mægtighed ((set theory) number of elements a given set contains) · et võimsus ((set theory) number of elements a given set contains) · he עָצְמָה ((set theory) number of elements a given set contains) · ja 濃度 ((set theory) number of elements a given set contains) · cs mohutnost ((set theory) number of elements a given set contains) · pl moc ((type theory) number of terms that can inhabit a type) · pl liczebność ((set theory) number of elements a given set contains) · sk mohutnosť ((set theory) number of elements a given set contains)